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arXiv · 1703.08384

Finitely additive measures and complementability of Lipschitz-free spaces

Marek Cúth·Ondřej F. K. Kalenda·Petr Kaplický
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Abstract

We prove in particular that the Lipschitz-free space over a finitely-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is $1$. As a tool to obtain the main result we establish several facts on the structure of finitely additive measures on finitely-dimensional spaces.

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Marek Cúth, Ondřej F. K. Kalenda, Petr Kaplický. 2018-06-14. Finitely additive measures and complementability of Lipschitz-free spaces. https://doi.org/10.1007/s11856-019-1829-y

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